Table 2
All the linear SBCRs found in the literature that are applicable to Cepheids.
| Ref | Class | l1 | l2 | N | b | σb | a | σa | σrms |
|---|---|---|---|---|---|---|---|---|---|
| dB93 | III | 1.4 | 3.7 | 8 | 3.9270 | 0.0000 | −0.1220 | 0.0000 | 0.0030 |
| dB93 | I, II | 0.5 | 4.3 | 6 | 3.9540 | 0.0000 | −0.1330 | 0.0000 | 0.0070 |
| dB93 | I, II | 0.5 | 4.3 | 6 | 3.9580 | 0.0000 | −0.1390 | 0.0000 | 0.0070 |
| F97 | III | 2.22 | 4.11 | 10 | 3.9300 | 0.0120 | −0.1240 | 0.0040 | 0.0080 |
| F97 | I, II | 0.52 | 5.53 | 13 | 3.9140 | 0.0230 | −0.1190 | 0.0070 | 0.0320 |
| F97 | Cep | 0.8 | 2.4 | 10 | 3.9470 | 0.0000 | −0.1310 | 0.0000 | 0.0000 |
| N02 | III | 0.7 | 4 | 57 | 3.9340 | 0.0050 | −0.1230 | 0.0020 | 0.0110 |
| N02 | Cep | 0.7 | 4 | 59 | 3.9560 | 0.0110 | −0.1340 | 0.0050 | 0.0260 |
| K04 | Cep | 1.1 | 2.4 | 9 | 3.9530 | 0.0006 | −0.1336 | 0.0008 | 0.0150 |
| vB99 | I, II, III | 2 | 8 | 163 | 3.8862 | 0.0260 | −0.1115 | 0.0050 | 0.0235 |
| G04 | III | 1.6 | 3.9 | 74 | 3.9287 | 0.0070 | −0.1225 | 0.0025 | 0.0023 |
| G04 | I, II | −0.85 | 4.1 | 21 | 3.9172 | 0.0095 | −0.1215 | 0.0040 | 0.0024 |
| P19 | III | 2.07 | 2.71 | 41 | 3.9537 | 0.0017 | −0.1330 | 0.0017 | 0.0018 |
| S21 | II, III | 1.8 | 3.8 | 70 | 3.9278 | 0.0016 | −0.1220 | 0.0006 | 0.0022 |
| mag | mag | mag | mag | mag | |||||
Notes. These SBCRs are provided using the same formalism: 
and l2 = (V − K)2 are the limit of the validity domain of the SBCRs. The references are the following: dB93 (di Benedetto 1993), F97 (Fouque & Gieren 1997), N02 (Nordgren et al. 2002), K04 (Kervella et al. 2004a), vB99 (van Belle 1999), G04 (Groenewegen 2004), P19 (Pietrzyński et al. 2013), S21 (Salsi et al. 2021). See Appendix F of Nardetto (2018) for more details about these SBCRs. The second, third, and fourth columns provide the validity domain in terms of class and (V − K)0 color. Only SBCRs dB93 (III) and dB93 (I, II) are not corrected for extinction (we kept them for comparison). N is the number of measurements over which the calibration was performed. b and a are the coefficients of the SBCR in the form 
. The statistical uncertainty on the coefficients of the SBCR is also provided, as is the rms. The SBCRs are based on various definitions in the literature. Some transformations were necessary to derive the coefficients of the SBCRs, their uncertainties, and the rms.
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